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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 770 · 40 questions
TalentJR

How to solve it (Always out of the cost): p% of N = N × p ÷ 100. Profit = selling price − cost price; profit % = profit ÷ cost price × 100 (loss works the same way). Discount = p% of the marked price; selling price = marked price − discount.

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  1. 1.A bag marked ₹200 is sold at a 10% discount. What is its selling price? (a) ₹20 (b) ₹190 (c) ₹220 (d) ₹180
  2. 2.What is 60% of 520? (a) 208 (b) 3120 (c) 312 (d) 624
  3. 3.A shopkeeper buys a toy for ₹560 and sells it for ₹420. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 26%
  4. 4.A bag marked ₹1600 is sold at a 10% discount. What is its selling price? (a) ₹1590 (b) ₹1440 (c) ₹160 (d) ₹1760
  5. 5.A shopkeeper buys a toy for ₹520 and sells it for ₹780. What is his profit percent? (a) 45% (b) 50% (c) 55% (d) 51%
  6. 6.A shopkeeper buys a toy for ₹420 and sells it for ₹441. What is his profit percent? (a) 21% (b) 5% (c) 10% (d) 6%
  7. 7.What is 40% of 560? (a) 448 (b) 336 (c) 224 (d) 2240
  8. 8.What is 50% of 280? (a) 1400 (b) 141 (c) 280 (d) 140
  9. 9.What is 60% of 360? (a) 432 (b) 216 (c) 144 (d) 2160
  10. 10.A bag marked ₹280 is sold at a 15% discount. What is its selling price? (a) ₹42 (b) ₹238 (c) ₹322 (d) ₹265
  11. 11.What is 25% of 560? (a) 1400 (b) 420 (c) 140 (d) 280
  12. 12.What is 20% of 920? (a) 368 (b) 736 (c) 1840 (d) 184
  13. 13.What is 60% of 740? (a) 296 (b) 4440 (c) 444 (d) 888
  14. 14.A shopkeeper buys a toy for ₹860 and sells it for ₹1032. What is his profit percent? (a) 21% (b) 20% (c) 25% (d) 15%
  15. 15.A shopkeeper buys a toy for ₹820 and sells it for ₹574. What is his loss percent? (a) 25% (b) 30% (c) 35% (d) 31%
  16. 16.A shopkeeper buys a toy for ₹320 and sells it for ₹336. What is his profit percent? (a) 16% (b) 10% (c) 6% (d) 5%
  17. 17.What is 10% of 640? (a) 640 (b) 576 (c) 64 (d) 128
  18. 18.A bag marked ₹640 is sold at a 30% discount. What is its selling price? (a) ₹610 (b) ₹448 (c) ₹192 (d) ₹832
  19. 19.A bag marked ₹1980 is sold at a 10% discount. What is its selling price? (a) ₹1782 (b) ₹1970 (c) ₹2178 (d) ₹198
  20. 20.A shopkeeper buys a toy for ₹180 and sells it for ₹144. What is his loss percent? (a) 15% (b) 36% (c) 20% (d) 25%
  21. 21.A shopkeeper buys a toy for ₹340 and sells it for ₹323. What is his loss percent? (a) 5% (b) 17% (c) 6% (d) 10%
  22. 22.A shopkeeper buys a toy for ₹640 and sells it for ₹544. What is his loss percent? (a) 20% (b) 15% (c) 10% (d) 96%
  23. 23.What is 20% of 140? (a) 112 (b) 28 (c) 56 (d) 280
  24. 24.What is 10% of 520? (a) 468 (b) 52 (c) 520 (d) 104
  25. 25.What is 25% of 440? (a) 220 (b) 330 (c) 1100 (d) 110
  26. 26.A shopkeeper buys a toy for ₹160 and sells it for ₹136. What is his loss percent? (a) 24% (b) 10% (c) 20% (d) 15%
  27. 27.A shopkeeper buys a toy for ₹320 and sells it for ₹384. What is his profit percent? (a) 25% (b) 15% (c) 64% (d) 20%
  28. 28.A bag marked ₹1360 is sold at a 10% discount. What is its selling price? (a) ₹136 (b) ₹1350 (c) ₹1224 (d) ₹1496
  29. 29.A bag marked ₹440 is sold at a 10% discount. What is its selling price? (a) ₹396 (b) ₹484 (c) ₹44 (d) ₹430
  30. 30.A bag marked ₹540 is sold at a 25% discount. What is its selling price? (a) ₹135 (b) ₹675 (c) ₹405 (d) ₹515
  31. 31.A shopkeeper buys a toy for ₹760 and sells it for ₹570. What is his loss percent? (a) 25% (b) 26% (c) 20% (d) 30%
  32. 32.A shopkeeper buys a toy for ₹580 and sells it for ₹667. What is his profit percent? (a) 20% (b) 15% (c) 87% (d) 10%
  33. 33.A shopkeeper buys a toy for ₹580 and sells it for ₹522. What is his loss percent? (a) 10% (b) 58% (c) 15% (d) 5%
  34. 34.A shopkeeper buys a toy for ₹440 and sells it for ₹308. What is his loss percent? (a) 25% (b) 30% (c) 35% (d) 31%
  35. 35.A bag marked ₹500 is sold at a 30% discount. What is its selling price? (a) ₹350 (b) ₹650 (c) ₹470 (d) ₹150
  36. 36.A bag marked ₹780 is sold at a 15% discount. What is its selling price? (a) ₹663 (b) ₹897 (c) ₹765 (d) ₹117
  37. 37.What is 30% of 380? (a) 228 (b) 114 (c) 1140 (d) 266
  38. 38.A shopkeeper buys a toy for ₹720 and sells it for ₹864. What is his profit percent? (a) 25% (b) 20% (c) 21% (d) 15%
  39. 39.A shopkeeper buys a toy for ₹100 and sells it for ₹70. What is his loss percent? (a) 30% (b) 25% (c) 31% (d) 35%
  40. 40.What is 20% of 500? (a) 400 (b) 1000 (c) 200 (d) 100

Answer key

  1. ₹180
  2. 312
  3. 25%
  4. ₹1440
  5. 50%
  6. 5%
  7. 224
  8. 140
  9. 216
  10. ₹238
  11. 140
  12. 184
  13. 444
  14. 20%
  15. 30%
  16. 5%
  17. 64
  18. ₹448
  19. ₹1782
  20. 20%
  21. 5%
  22. 15%
  23. 28
  24. 52
  25. 110
  26. 15%
  27. 20%
  28. ₹1224
  29. ₹396
  30. ₹405
  31. 25%
  32. 15%
  33. 10%
  34. 30%
  35. ₹350
  36. ₹663
  37. 114
  38. 20%
  39. 30%
  40. 100

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